Large time behavior for convection-diffusion equations in irnwith asymptotically constant diffusion

1999 ◽  
Vol 24 (7-8) ◽  
pp. 1283-1340 ◽  
Author(s):  
Gema Duro ◽  
Enrique Zuazua
Keyword(s):  
Large Time ◽  
Large Time Behavior ◽  
Diffusion Equations ◽  
Time Behavior ◽  
Convection Diffusion ◽  
Constant Diffusion

scholarly journals Large Time Behavior of Nonlinear Finite Volume Schemes for Convection-Diffusion Equations

2020 ◽  
Vol 58 (5) ◽  
pp. 2544-2571
Author(s):  
Clément Cancès ◽  
Claire Chainais-Hillairet ◽  
Maxime Herda ◽  
Stella Krell
Keyword(s):  
Finite Volume ◽  
Large Time ◽  
Large Time Behavior ◽  
Diffusion Equations ◽  
Time Behavior ◽  
Finite Volume Schemes ◽  
Convection Diffusion

scholarly journals Fujita type theorem for a class of coupled quasilinear convection–diffusion equations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Yanan Zhou ◽  
Yan Leng ◽  
Yuanyuan Nie
Keyword(s):  
Critical Case ◽  
Large Time ◽  
Blow Up ◽  
Type Theorem ◽  
Large Time Behavior ◽  
Diffusion Equations ◽  
Time Behavior ◽  
Convection Term ◽  
Diffusion Term ◽  
Convection Diffusion

AbstractIn this paper, we establish the Fujita type theorem for a homogeneous Neumann outer problem of the coupled quasilinear convection–diffusion equations and formulate the critical Fujita exponent. Besides, the influence of diffusion term, reaction term, and convection term on the global existence and the blow-up property of the problem is revealed. Finally, we discuss the large time behavior of the solution to the outer problem in the critical case and describe the asymptotic behavior of the solution.

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